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Completing the Square

Authored by Emily Keeler

Mathematics

9th - 11th Grade

CCSS covered

Used 21+ times

Completing the Square
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11 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find "c" when completing the square?

b2a\frac{-b}{2a}

(b2)2\left(\frac{b}{2}\right)^2

b24acb^2-4ac

none of the above

Tags

CCSS.HSA-REI.B.4B

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

What number should be used for "c" when completing the square?

 x2+30x+cx^2+30x+c  

Tags

CCSS.HSA-REI.B.4B

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

What number should be used for "c" when completing the square?

 x212x+cx^2-12x+c  

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when using completing the square?

 x2+6x16=0x^2+6x-16=0  

Square root both sides

Add 16 to both sides

Factor the trinomial

Tags

CCSS.HSA-REI.B.4B

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

What number (c) should be added to both sides of the equation when completing the square?

 x2+6x + ? =16 + ?x^2+6x\ +\ ?\ =16\ +\ ?  

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor the left side of the equation

 x2+6x+9=25x^2+6x+9=25  

 (x+5)2\left(x+5\right)^2  

 (x+3)(x+2)\left(x+3\right)\left(x+2\right)  

 (x+3)2\left(x+3\right)^2  

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step when solving by completing the square?

 (x+3)2=25\left(x+3\right)^2=25  

Square root both sides

Divide both sides by 2

Subtract 3 from both sides

Tags

CCSS.HSA-REI.B.4B

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